If the '9' is the last digit in it, then it has terminated.
If it's a repeating decimal, put the part that repeats over as many 9's as there are repeating digits. For example, if you had 0.345345345..., then you would write 345/999. A decimal that goes forever without a repeating pattern can't be written as a fraction. All other decimals (ones that terminate) are converted the following way: whatever position the last non-zero number lands on determines what number is in the denominator. For example, 0.762 has a 2 in the thousandths position, so 1000 will be in the denominator and 762 will be in the numerator. 5.24 will be written as 5 and 24/100.
There can be no answer to the question because it is based on a false assumption.0.3333... repeating = 1/3 : I don't see any 9s in the denominator!or 0.0111... repeating = 11/990 : I would not consider the last digit in the denominator to be 9.Having said that, the significance of 9 is that we count in blocks of one more: 10s.
you divide the last number into the tope number and you get the answer easy as pie
As written as '72.72' it is a terminating decimal. It terminates at '2'. However, if written as '72.72.... ' it is repeating to infinity. Note the use of full stops/after the last number, of which there must be at least three stops.
no. you can think of an irrational number as any number you don't know the last digit of. 1/2 is = to 0.5. because you know 5 is the last digit, it is rational. pi is irrational, because it does not have a last digit, it goes on forever. 10/3 or 3.33333 repeating is rational because you know 3 will be the last digit even if it is infinite. 6.7878787878 repeating would be irrational because it is not known if the 7 or the 8 is the last digit
0.33333 . If this is a terminal decimal then as a fraction it is 33333/100000 However, if it is a repeating decimal to infinity, then it should be written as 0.33333... ( Notice the dots after the last number; this indicates it is a repeating to infinity decimal.) To converto a fraction. Let P = 0.33333.... Then 10P = 3.33333... Subtract 9P = 3. 0 = 3 ( Notice the repeating decimal digits subtract to zero). Hence 9P = 3 P = 3/9 Cancel down by '3' P = 1/3 ( The answer). 0 0
The Dewey Decimal System begins with the number 000 and really doesn't end. It is infinitely expandable. The last number is 999.999999999 repeating.
A dot over the first and last number if the repeating entity is a series of numbers (such as the decimal of 1/7) , two dots if it is one number repeating (such as the decimal of 1/3)
Yes. Rational numbers are those number which can be represented as fractions. All decimals which terminal or end in recurring digits can be represented as fractions and are rational numbers. If you mean the exact decimal 0.676767 it is 676767/1000000 as a fraction. If you mean the recurring decimal 0.676767... it is 67/99 as a fraction.
First of all to indicate repeating to infinity decimals , we write '0.95595....' Notec the use of three or more dots after the last decimal digits. Then Let P = 0.959595.... 100 P = 95.959595.... Subtract 99P = 95 ( Note the repeating decimals subtract to zero). P = 95/99 NB THis fraction will not cancel down ; no common fasctors. 0.959595.... = 95/99
Numbers that can be expressed as fractions are called rational. A number that cannot be written as a fraction is called irrational. Common examples of this are the square root of 2, e, pi, etc*.Real numbers (which include irrational and rational numbers) can be described by decimal expansions (possibly infinite ones). If a number has a decimal representation that repeats it must also be able to be represented as a fraction.* (the last two of these are also transcendental, which essentially means they cannot be described as a solution to certain equations).